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Finding the Fourth Proportional to 47,205.52, 65,133.16 and 27,322

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Solution

The fourth proportional to 47,205.52, 65,133.16 and 27,322 is: 37,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205.52 : 65,133.16 = 27,322 : x
  2. Step 2: Convert to fraction form
    47,205.52/65,133.16 = 27,322/x
  3. Step 3: Cross multiply
    47,205.52x = 65,133.16 × 27,322
  4. Step 4: Simplify right side
    47,205.52x = 1,779,568,197.52
  5. Step 5: Solve for x
    x = 1,779,568,197.52/47,205.52
  6. Step 6: Final answer
    x = 37,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.